GCD of 686, 889, 711, 680 Calculator

Given Input numbers are 686, 889, 711, 680

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 686, 889, 711, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 889, 711, 680 is 1.

Therefore, GCD of numbers 686, 889, 711, 680 is 1

Given Input Data is 686, 889, 711, 680

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 889 is 7 x 127

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(686, 889) = 87122

GCD(686, 889) = ( 686 x 889 ) / 87122

GCD(686, 889) = 609854 / 87122

GCD(686, 889) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 711

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 711) = 4977

GCD(7, 711) = ( 7 x 711 ) / 4977

GCD(7, 711) = 4977 / 4977

GCD(7, 711) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 686, 889, 711, 680 is 1

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1. What is the GCD of 686, 889, 711, 680?

GCD of 686, 889, 711, 680 is 1

2. Where do I get the detailed procedure to find GCD of 686, 889, 711, 680?

You can find a detailed procedure to find GCD of 686, 889, 711, 680 on our page.

3. How to find GCD of 686, 889, 711, 680 on a calculator?

You can find the GCD of 686, 889, 711, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.